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Finding the Fourth Proportional to 256,173.98, 384,062.98 and 96,246.53

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Solution

The fourth proportional to 256,173.98, 384,062.98 and 96,246.53 is: 144,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,173.98 : 384,062.98 = 96,246.53 : x
  2. Step 2: Convert to fraction form
    256,173.98/384,062.98 = 96,246.53/x
  3. Step 3: Cross multiply
    256,173.98x = 384,062.98 × 96,246.53
  4. Step 4: Simplify right side
    256,173.98x = 36,964,727,206.14
  5. Step 5: Solve for x
    x = 36,964,727,206.14/256,173.98
  6. Step 6: Final answer
    x = 144,295.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.